Finding the Third Proportional to 86,539.50 and 187,842

Step by Step Solution

1. Step 1: Write the proportion equation
   86,539.50 : 187,842 = 187,842 : x
2. Step 2: Convert to fraction form
   86,539.50/187,842 = 187,842/x
3. Step 3: Cross multiply
   86,539.50x = 187,842 × 187,842
4. Step 4: Simplify right side
   86,539.50x = 35,284,616,964
5. Step 5: Solve for x
   x = 35,284,616,964/86,539.50
6. Step 6: Final answer
   x = 407,728.46